Pith Number

pith:4MZAOOWT

pith:2013:4MZAOOWTAF6FJF2S7VHYYS4SF5

not attested not anchored not stored refs pending

Avoidance of a Landau Pole by Flat Contributions in QED

Dirk Kreimer, Lutz Klaczynski

arxiv:1309.5061 v3 · 2013-09-19 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MZAOOWTAF6FJF2S7VHYYS4SF5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:23:30.000707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e332073ad3017c549752fd4f8c4b922f7ed872e76c1d5e35e53d5b8050095cac

Aliases

arxiv: 1309.5061 · arxiv_version: 1309.5061v3 · doi: 10.48550/arxiv.1309.5061 · pith_short_12: 4MZAOOWTAF6F · pith_short_16: 4MZAOOWTAF6FJF2S · pith_short_8: 4MZAOOWT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4MZAOOWTAF6FJF2S7VHYYS4SF5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e332073ad3017c549752fd4f8c4b922f7ed872e76c1d5e35e53d5b8050095cac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c78d3b88f33d1ae7cf12302756abbae7f0810e78fb237c9bc38ee77a37c6c84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-09-19T17:46:27Z",
    "title_canon_sha256": "d229717ba90b0ea0bd754aa0c4aa2cecf975b507628454d0333eb03f448d76a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5061",
    "kind": "arxiv",
    "version": 3
  }
}